Solve 0.01sqrt{x}=sqrt{0.78*0.22}

$$0.01 \sqrt{ x } = \sqrt{ 0.78 \times 0.22 }$$

Solve for x

$$x=1716$$

Steps for Solving Radical Equations

Multiply both sides by 100.

$$\frac{0.01\sqrt{x}}{0.01}=\frac{\sqrt{429}}{0.01\times 50}$$

Dividing by 0.01 undoes the multiplication by 0.01.

$$\sqrt{x}=\frac{\sqrt{429}}{0.01\times 50}$$

Divide \frac{\sqrt{429}}{50} by 0.01 by multiplying \frac{\sqrt{429}}{50} by the reciprocal of 0.01.

$$\sqrt{x}=2\sqrt{429}$$

Square both sides of the equation.

$$x=1716$$